with \(\xi _0\)  being a uniform random variable on the unit
interval. Now the diffusion coefficient (REF ) is
infinite, but one can define a generalized diffusion
coefficient in terms of the scales \(\tilde{\ell }\)  and
\(\tilde{\tau }\)  as [1]}, [2]}
\(\kappa _\mu = {\tilde{\ell }}^\mu / (2 \tilde{\tau }) \, .\) 
